Not on the Transilien Website but on the same road as Monet’s home: Musée des impressionnismes Giverny Galleries are closed November 1 through the end of March (administrative offices remain active) – Founded by Daniel J. Terra in 1992, and formerly known as the musée d’art américain Giverny

Rent a bike in Paris and take it on the train to different destinations: Moret sur Loing, for example.